Dr. Tarakanta Nayak
Assistant Professor
School of Basic Sciences
Office : 329, SBS Building
Phone : 674-713-5166
Email :
tnayakATiitbbsDOTacDOTin
Education
| Degree | Discipline | Year | School |
|---|---|---|---|
| Ph.D. | Mathematics | 2007 | Indian Institute of Technology Guwahati |
Research Interests
Complex Dynamics; Fractals; Independence polynomials and Independent fractals of graphs
Other Profile Link(s)
Personal Web Page
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Teaching
Math-I, Math-II, Transform Calculus, Probability, Statistics & Stochastic Processes, Complex Analysis, Fractals, Advanced Complex Analysis, Complex Dynamics, Linear Algebra, Discrete Mathematics
| Recent Publication (International Journals) | Author(s)/Speaker(s) |
|---|---|
Herman rings with small periods and omitted values, Acta Mathematica Scientia Ser. B(Engl. Ed.) 38 (2018), no. 6, 1951-–1965, Elsevier. |
Tarun Kumar Chakra, Gorachand Chakraborty and Tarakanta Nayak |
Iteration of the translated tangent, Bulletin of the Malaysian Mathematical Sciences Society, Springer, 42 (2018), no. 5, 1993-2008, DOI 10.1007/s40840-017-0588-3. |
Tarun Kumar Chakra and Tarakanta Nayak |
Iteration of certain exponential-like meromorphic functions, Proceedings of Indian Academy of Sciences (Mathematical Sciences), Springer, 128 (2018), no. 5, Art. 64, 18 pp |
Tarun Kumar Chakra, Tarakanta Nayak and Kedarnath Senapati |
Baker Omitted value, Complex Variables and Elliptic Equations, An International Journal, 61 (2016), no. 10, 1353 - 1361 |
Tarun Kumar Chakra, Gorachand Chakraborty and Tarakanta Nayak |
Herman rings of meromorphic maps with an omitted value, Proceedings of the American Mathematical Society, 144 (2016), no. 2, 587 - 597 |
Tarakanta Nayak |
On Fatou components and Omitted values, Contemporary Mathematics, Geometry, groups and dynamics, 349 - 358, Contemporary Mathematics, 639, American Mathematical Society, Providence, RI, 2015. |
Tarakanta Nayak |
Julia sets of Joukowski-exponential maps, Complex Analysis and Operator Theory, 8 (2014), no.5, 1061--1076. |
Tarakanta Nayak and M. G. P. Prasad |
Omitted values and dynamics of meromorphic functions, Journal of London Mathematical Society, 83 (1), (2011), 121-136 |
Tarakanta Nayak and Jian-Hua Zheng |
Iteration of certain meromorphic functions with unbounded singular values, Ergodic Theory & Dynamical Systems, 30, (2010), 877-891 |
Tarakanta Nayak and M. Guru Prem Prasad |
Dynamics of tanh e^z, Discrete and Continuous Dynamical Systems-Series A 19, (September 2007), 1, 121-138 |
M. Guru Prem Prasad and Tarakanta Nayak |
Bifurcation and chaotic burst in the dynamics of e^az+be^z, Journal of Combinatorics, Information and System Sciences 28-29 (2003-2004), 211-227 |
Tarakanta Nayak and M. Guru Prem Prasad |
Exploding Julia sets in the dynamics of f ?(z) = ?J1(iz)/iz, Proceedings of The Third National Conference on Non-linear Systems and Dynamics, (NCNSD-2006), 171-174, Allied Publishers Pvt. Ltd. |
M. Guru Prem Prasad, Tarakanta Nayak and Ashis Kumar Roy |
Conferences (International)
Baker omitted value, Invited talk in 34 th Annual Conference of the Ramanujan Mathematical Society, 1-3 August 2019, Pondicherry University, Punducherry, India
Independence fractal of a graph, Invited talk in 83rd Annual Conference of Indian Mathematical Society, 12-15 Dec 2017, Sri Venkateswar University, Tirupati, Andhra Pradesh, India
Completely invariant domains, Complex Analysis: Geometric and Dynamical Aspects, Non 14-19, 2016, Centre of Excellence in Mathematical Sciences, Almora, India
Herman rings, Frontiers in Complex Dynamics, Dec 19 -- 20, 2012, University of Barcelona, Spain
Conferences (National)
Complex Dynamics of some simple maps, National Workshop on Topological Dynamics Dec 10 -- 12, 2015, National Institute of Technology, Karnataka, Surathkal, India
Academic Honors & Awards
- Ramanujan Prize for 2018 given by Ramanujan Institute for Advanced Study in Mathematics, University of Chennai
- Selected as a member of INYAS (Indian National Young Academy of Science)
- Appointed Junior Associate of International Centre for Theoretical Physics, Italy for the period 2012-2017
- Awarded China Postdoctoral Science Foundation Grant (Grant no. 20090450420) for the project "Topological Aspects of Transcendental Dynamics" during 2009-2010.
- The paper entitled Bifurcation and chaotic burst in the dynamics of \lambda e^{az +be^z} is awarded second place honor in the R. S. Verma memorial student paper competition in the 11th International conference of the Forum for interdisciplinary mathematics on Interdisciplinary Mathematical and Statistical Techniques held at Lucknow, India during 27-29 Dec, 2004
PhD
Completed: 1 (Tarun Kumar Chakra)
Continuing: 2 (Subhasis Ghora and Soumen Pal)
MSc projects for students of IIT Bhubaneswar
Completed: 12
Continuing: 2
MSc and BTech projects for other students
Completed: 4
Professional Activities
- Reviewer, Mathematical Reviews (Published by American Mathematical Society)
- Regional Coordinator (Odisha), Madhava Mathematics Competition (since 2015)
- Acted as supervisor for Joint Science Academies' Summer Research Fellowship Programme
- Member, Board of studies, Salipur Autonomous College, Salipur (2014-2016)
- Appointed zonal coordinator, Indian National Mathematical Olympiad for Utkal University zone
- Expert member in the interview board for selection of Trained Graduate Teachers in Kendriya Vidyalaya Sangathan on 30 April, 2011
Student Supervision
PhD: Iteration of meromorphic functions with an omitted value}, Tarun Kumar Chakra, 2018
Post Doc: Iteration of certain exponential-like meromorphic functions, Dr Kedarnath Senapati, 2014-2016
MSc projects at IIT Bhubaneswar
12. Fixed points and their multipliers of a polynomial, M.Sc. project by Rajen Kumar during 2018-19.
11. Graphs whose independence fractals are line segments, M.Sc. project by Sanjoy Mondal during 2018-19.
10. Quasiconformal mapping and No wandering theorem, M.Sc. project by Abhisek Pandey during 2018-19
9. Fractal Transformation using Iterated Function System, M.Sc. project by Chavan Ratan during 2017-18.
8. Quasiconformal mappings, M.Sc. project by Garima Gupta during 2016-17.
- 7. A study of roots of Independence polynomials , M.Sc. project by Vijay Kumar Meena during 2016-17.
- 6.. The Independence fractal of a graph, M.Sc. project by Kartik Pandey during 2016-17.
- 5. Finding all roots of a polynomial by Newton's Method, M.Sc. project by Soumen Pal during 2015-16.
- 4. A study on palindromic polynomials, M.Sc. project by Priti Prasanna Mondal during 2015-16.
- 3. Polynomial root finding, M.Sc. project by Anudeep Nain during 2014-15.
- 2. The Julia sets of relaxed Newton method for polynomials with two roots, M.Sc. project by Satyabrata Jana during 2014-15.
- 1. Dynamical behaviour of multiply connected Fatou components of transcendental entire functions, M.Sc. project by Jogender Singh during 2014-15.
Outside IIT Bhubaneswar
4. Roots of Chromatic Polynomials, winter project by Labhansh Gemini, NIT Hamirpur, 11-31 Dec 2018.
- 3. The independence polynomial of a graph, summer project by Satyabrat Rath, NIT Rourkela, 2018.
- 2. On Herman rings of transcendental meromorphic functions, summer project by Pranav Kumar Upadrasta, IIT Kharagpur (under SRF Programme - 2014, jointly sponsored by IASc-Bangalore, INSA-New Delhi and NSAI-Allahabad).
- 1. When two fractals are the same, summer project by Prashant Kumar Ojha, NIT Rourkela during May 15 -- July 15, 2011.
Sponsored projects
- Project title and duration: Independence polynomials of graphs and associated fractals, 14 March 2019-13 March 2022. Supported by the Department of Science & Technology, Govt. of India. Amount: Rupees 6.6 Lakhs
- Project title and duration:Omitted values in complex dynamics, 2014-17. Supported by the Department of Science & Technology, Govt. of India. Amount: Rupees 13.44 Lakhs.
- Project title and duration: Julia sets of transcendental meromorphic functions, 21/07/2010 - 30/06/2012. Supported by IIT Bhubaneswar. Amount: Rupees 5 Lakhs
- Project title and duration: Topological aspects of transcendental dynamics, 2009-2010. Supported by the China Postdoctoral Science Foundation (Grant no. 20090450420). Amount: RMB 30,000.